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Finding the Fourth Proportional to 493.67, 743.28 and 436.25

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Solution

The fourth proportional to 493.67, 743.28 and 436.25 is: 656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.67 : 743.28 = 436.25 : x
  2. Step 2: Convert to fraction form
    493.67/743.28 = 436.25/x
  3. Step 3: Cross multiply
    493.67x = 743.28 × 436.25
  4. Step 4: Simplify right side
    493.67x = 324,252.18
  5. Step 5: Solve for x
    x = 324,252.18/493.67
  6. Step 6: Final answer
    x = 656.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.